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Finding the Fourth Proportional to 931.06, 1,394.11 and 734.32

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Solution

The fourth proportional to 931.06, 1,394.11 and 734.32 is: 1,099.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.06 : 1,394.11 = 734.32 : x
  2. Step 2: Convert to fraction form
    931.06/1,394.11 = 734.32/x
  3. Step 3: Cross multiply
    931.06x = 1,394.11 × 734.32
  4. Step 4: Simplify right side
    931.06x = 1,023,722.86
  5. Step 5: Solve for x
    x = 1,023,722.86/931.06
  6. Step 6: Final answer
    x = 1,099.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.